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2020 The Intersection of Typical Besicovitch Sets with Lines
Tamás Kátay
Real Anal. Exchange 45(2): 453-464 (2020). DOI: 10.14321/realanalexch.45.2.0453

Abstract

We show that a typical Besicovitch set \(B\) has intersections of measure zero with every line not contained in it. Moreover, every line in \(B\) intersects the union of all the other lines in \(B\) in a set of measure zero.

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Tamás Kátay. "The Intersection of Typical Besicovitch Sets with Lines." Real Anal. Exchange 45 (2) 453 - 464, 2020. https://doi.org/10.14321/realanalexch.45.2.0453

Information

Published: 2020
First available in Project Euclid: 30 June 2020

zbMATH: 07229058
Digital Object Identifier: 10.14321/realanalexch.45.2.0453

Subjects:
Primary: 28A78
Secondary: 54E52

Rights: Copyright © 2020 Michigan State University Press

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Vol.45 • No. 2 • 2020
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